GCD of 370, 160, 625, 744 Calculator

Given Input numbers are 370, 160, 625, 744

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 625

List of positive integer divisors of 625 that divides 625 without a remainder.

1, 5, 25, 125, 625

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Greatest Common Divisior

We found the divisors of 370, 160, 625, 744 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 370, 160, 625, 744 is 1.

Therefore, GCD of numbers 370, 160, 625, 744 is 1

Given Input Data is 370, 160, 625, 744

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 370 is 2 x 5 x 37

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 625 is 5 x 5 x 5 x 5

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(370, 160) = 5920

GCD(370, 160) = ( 370 x 160 ) / 5920

GCD(370, 160) = 59200 / 5920

GCD(370, 160) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 625

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(10, 625) = 1250

GCD(10, 625) = ( 10 x 625 ) / 1250

GCD(10, 625) = 6250 / 1250

GCD(10, 625) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 744

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(5, 744) = 3720

GCD(5, 744) = ( 5 x 744 ) / 3720

GCD(5, 744) = 3720 / 3720

GCD(5, 744) = 1

GCD of 370, 160, 625, 744 is 1

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1. What is the GCD of 370, 160, 625, 744?

GCD of 370, 160, 625, 744 is 1

2. Where do I get the detailed procedure to find GCD of 370, 160, 625, 744?

You can find a detailed procedure to find GCD of 370, 160, 625, 744 on our page.

3. How to find GCD of 370, 160, 625, 744 on a calculator?

You can find the GCD of 370, 160, 625, 744 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.